{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 25\n",
    "\n",
    "# 稳态向量\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7ce1289-338c-432b-8e4c-9b64d9175410",
   "metadata": {},
   "source": [
    "在这段代码中，我们主要处理的是一个马尔可夫链的状态转移过程，利用转移矩阵来计算每个时间步的状态概率分布。首先定义了一个转移矩阵$T$，它的元素表示在当前状态下转移到其他状态的概率。在本例中，$T$矩阵如下：\n",
    "\n",
    "$$\n",
    "T = \\begin{pmatrix}\n",
    "0.7 & 0.2 \\\\\n",
    "0.3 & 0.8 \n",
    "\\end{pmatrix}\n",
    "$$\n",
    "\n",
    "这里，第一行表示从状态1转移到状态1和状态2的概率，第二行表示从状态2转移到状态1和状态2的概率。\n",
    "\n",
    "然后定义了初始状态向量$\\pi_i$，表示在时间点$i$处于各个状态的初始概率分布。在这个示例中，初始状态向量为：\n",
    "\n",
    "$$\n",
    "\\pi_i = \\begin{pmatrix}\n",
    "0.6 \\\\\n",
    "0.4 \n",
    "\\end{pmatrix}\n",
    "$$\n",
    "\n",
    "接下来，代码生成一个包含多个初始状态概率分布的矩阵$pi\\_array$，其中每列代表不同的初始状态概率分布。使用`np.vstack()`和`np.linspace()`函数来生成从全1到全0的状态概率变化。\n",
    "\n",
    "然后，代码使用循环依次计算每个时间步的状态概率向量，计算公式为：\n",
    "\n",
    "$$\n",
    "\\pi(i+1) = T \\cdot \\pi(i)\n",
    "$$\n",
    "\n",
    "每次迭代，更新状态概率向量$pi$，并通过绘制热图可视化每个时间步的状态分布。图中的每个热图展示了在对应时间步的状态概率分布，$pi(i)$表示第$i$个时间步的状态概率。\n",
    "\n",
    "最终，整个代码展示了如何通过转移矩阵进行状态转移，并可视化这些转移过程，从而更好地理解马尔可夫链的动态特性。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0b9b757-89c0-4154-bb28-b01fc56eadc9",
   "metadata": {},
   "source": [
    "## 导入必要的库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1866dc6f-a001-4902-9bc4-776e57379819",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  # 导入NumPy库，用于矩阵和数组计算\n",
    "import seaborn as sns  # 导入Seaborn库，用于绘制热图\n",
    "import matplotlib.pyplot as plt  # 导入Matplotlib库，用于绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "768c8d7b-d57b-43f7-92ec-9c987d964ec5",
   "metadata": {},
   "source": [
    "## 定义转移矩阵和初始状态向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d5cf3eed-01e2-4c5a-9ac4-6d88815d2972",
   "metadata": {},
   "outputs": [],
   "source": [
    "T = np.matrix([[0.7, 0.2],  # 定义转移矩阵T，第一行表示从状态1到状态1和状态2的转移概率\n",
    "               [0.3, 0.8]])  # 第二行表示从状态2到状态1和状态2的转移概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "005546c7-2c3d-4860-bc07-32eab7104511",
   "metadata": {},
   "outputs": [],
   "source": [
    "pi_i = np.matrix([[0.6],  # 定义初始状态向量pi_i，表示在时间点i处于状态1的概率为0.6\n",
    "                  [0.4]])  # 表示在时间点i处于状态2的概率为0.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1d95d413-1705-4c96-b2d1-40130a0b4697",
   "metadata": {},
   "outputs": [],
   "source": [
    "all_max = 1  # 定义热图的最大值，用于颜色映射\n",
    "all_min = 0  # 定义热图的最小值，用于颜色映射"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a4106415-84ee-44aa-bf54-a572c5448a76",
   "metadata": {},
   "outputs": [],
   "source": [
    "pi_array = np.vstack((np.linspace(1, 0, 11), \n",
    "                      1 - np.linspace(1, 0, 11)))  \n",
    "# 生成多个初始状态向量，第一行为状态1的概率，第二行为状态2的概率"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f889366d-22dd-4d37-a3b9-5fd1aa3f4ae0",
   "metadata": {},
   "outputs": [],
   "source": [
    "pi_array = np.matrix(pi_array)  # 将生成的数组转换为矩阵格式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "893ba115-40aa-4df5-a46c-4772f23af80f",
   "metadata": {},
   "outputs": [],
   "source": [
    "num_steps = 12  # 定义时间步数，用于表示状态转移的次数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "629a9426-bb64-4d8f-af5d-ed2e2c8bfe22",
   "metadata": {},
   "source": [
    "## 计算状态转移并可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "43bc158b-9df8-4644-8c38-dd73214e03eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6duyIFi1aYMyYMbCwsEBISAjmzp0LNzc3yWXtH4gto+Lmc/PmTezbtw81a9aEjo4Orl27hnnz5qFixYqYOXOmzHyqnE9pHhcW5jhblTIr7WPngvZVlYxKM5/CHGcrNJ8S/2bcT6SlpQna2trChAkTpNr79+8vaGtrCx07dpRqb9iwoeDr6yuznsTEROH7778XrK2tBW1tbcHDw0MICAiQO+eJEycEAMLly5dLbkcUqKQycnBwEADIfTx+/Fiqr5gyKol8GjdunGs28l4GX1o+mzZtEho2bChYWFgImpqagomJidC4cWNh27ZtcucUUz6CUHKvsU/17dtXMDAwkLtMTBmVRD5z584VPD09BWNjY0FDQ0OwtLQUOnXqJFy4cEHunGLKRxBK7jmUkpIiTJgwQShfvrygqakp2NvbCxMnThTevn0r01dMGZXka6xFixaCgYGBkJCQkOecYspHEEouo5MnTwotW7YUrK2tBT09PaFSpUrCTz/9JERHR8v0FVNGJZHP3bt3hUaNGglmZmaCtra24OLiIvzyyy9CUlKS3DlVNR9lHBcW9DhbVTJTRkYF7asKGZV2PoU5zlZkPgovbAtr7969goaGhvDixYsir6NXr15CvXr1SnCrVAszyhvzyRvzyR8zyhvzyR8zyhvzyR8zyhvzyVESWRSUWDNjRnn7XPJRucI2KytL8PHxEUaMGFGk8Q8ePBC0tLSEM2fOlPCWqQ5mlDfmkzfmkz9mlDfmkz9mlDfmkz9mlDfmk6O4WRSUmDNjRnn7XPIplZtHFYaamho2bNgAW1tbZGVlFXr8s2fPsHLlSpnPKn1OmFHemE/emE/+mFHemE/+mFHemE/+mFHemE+O4mZRUGLOjBnl7XPJR00Q3n/PABEREREREZEIqdwZWyIiIiIiIqLCYGFLREREREREosbCloiIiIiIiERNs6Adk7//SpHboXIMlv9TqP7C02UK2hLVpebwQ+EGCKcUsyGqSq1pobq/SXugoA1RXcbaLoXq/zo1WkFbopqs9SwK1f9lcoKCtkR12RkYFar/s6RUBW2JarI31CtU/y8tH6DwGT1NeqegLVFNDoY6her/peUDMKP8MJ/8MaO8FTQfnrElIiIiIiIiUWNhS0RERERERKLGwpaIiIiIiIhEjYUtERERERERiRoLWyIiIiIiIhI1FrZEREREREQkaixsiYiIiIiISNRY2BIREREREZGosbAlIiIiIiIiUWNhS0RERERERKLGwpaIiIiIiIhEjYUtERERERERiRoLWyIiIiIiIhI1FrZEREREREQkaixsiYiIiIiISNRY2BIREREREZGosbAlIiIiIiIiUWNhS0RERERERKLGwpaIiIiIiIhEjYUtERERERERiRoLWyIiIiIiIhI1FrZEREREREQkaixsiYiIiIiISNRY2BIREREREZGoKbSw1WzQHnpTt0F/0WHojlsNdeeqefbXqNkMuhPWQX/hX9CbuQvaPcYC+kbSfao3hN4kP+gvPgy9SX7Q8Khf7HmVaWfgTTTvvQ0ebdah8/A9uHTjVZ7909IysWRzCJr12opqbdaiRd/t2HfktlSfo2ceos2gAFRrsxZtBgXg+NlHxZ5XWXbsPI1mzSejmsdIdO48B5cu3c+17/nzd1HZ9TuZx8NHr6X6HT16Bb5tpqFqtZHwbTMNx4+HFmteZdv7+1/o0HoAGtToiD7/+x6hl28WaNy10DDU9WyHnt+MlGr/64/jqF2tjczj3bu0Epm3tB3YtR/f+n6DFrWbYnD3Abh25WqBxt0IvY5mNRph4P/6SrUf3BeIkf2HoU3D1mjTsDV+HPoDbt8Ik+qzeY0fGnvWl3p0at6upHapRP25ew96tO2AVj71MbRHb1y/Ivt6kOfm1Wv4qpYPBnfrIdX++OFDTB07Ht3btEcz71rYu2OnzNidmzZjWK8+aNOgMTo3b4lffxyLZ0+elMTuKETg7l3o3c4XvnVrY3jP7rgReqVA425eDUWr2jUwtPv/ZJadOfEPBn7TGb4+tTDwm844e/KkTJ/oyAjM+2USOjdrjLb1fDC0+/9w73aYTD9lU0Y+B/fsxpBvu6JDo/ro0Kg+vu/XBxfOnS2R/VGEwN2/o3e71mhTtyaG9/wWN0IvF2jcrauhaF3bC9917yqz7MyJ4xj0TUe08amBQd90xNmTJ6SWB2zaiJG9u6NDQx90/aoxpv74A54/eVwi+1PSlJHP9SuX8OvokejWqjla1vDAuVOyr0FVooyMijNvaWM++fsSMlJYYavh1QTanYch/dhOpC74DlkPb0B32FyomZaVvyHOVaHTawIygv9G6pxBeLd5JjTsK0On+485fRyrQKffL8i4+A9S5w1FxsV/oNP/V6g7uBZ5XmU6fPo+5q49i+961MCBNV1Rs5oNhkz+C68iE3MdM3r2UYSEvsSsH5vib78eWDSxBZzKm0iWh4a9xo+zj6F980r4c823aN+8EsbMPoZrtyOKNa8yHD58CXPn7sGw777GHwcmo0ZNFwweshKvXsXmOe7I39Nx9sx8ycPRIef/PjT0Ecb8uBEd2vvgzz9/QYf2Phg9ZgOuXcv5Y1/UeZXh+JH/sHj+BvQf/C227VkOzxpVMXrYVLwOj8xzXFJiMqZNWoSadTzlLjcw1MfhU9ukHjo62sWet7SdPPoPVv62DL0H9cGG3zfDw8sDE0aMRUT46zzHJSUmYc6vM+Fdu4bMsquXrqB56xZYumE5Vm9dh7LWVhg7bAyiIqKk+jlVcML+fwIlj817tpbovpWEU0ePYdXCxeg5sD/W79yOal6e+HnUDwXKZ+6UqfCuVUtm2bu3b2FjZ4fB34+EmYW53PHXLl9Bh/91xcotm/DbmpXIzMjE+OGjkJqaWiL7VZJOHzuKNYt+Q/cBg7Bm5++o6uWFSaNGIDI8PM9xyYmJWDDlV3jVqi2zLOz6NcyaOAFf+bbB2oDd+Mq3DWb9PB63b9yQ9ElMSMDoAf2goamJOctXYuPefRg65icYGpYp8X0sDmXlY2FlhYGjvseqbTuxattOeNaqhak/jsaThw9KfB+L6/SxI1i7aAF6DBiMNTt3o5qXNyaPGl7AjCbDq1YdmWVh169h9sTxaO7bFmsC9qK5b1vM/nkcbt+4Lulz48oltO/aDcv8t2Pe6vXIyszExBHfITU1pcT3sTiUlc/b1FQ4V6qMkRMmlvg+lTRlZVTUeUsb88nfl5KRwgpbraZdkBFyBBnBf0OIeIa0/WsgxEVCs4H8sxbqjlUgxEYg478/IMS+Rtajm0gPOgR1+0o562zSBZl3LyP9eACEyOdIPx6AzHuh0GrSucjzKpP/vmvo0roKun7thgr2Zpg0rAGsLQ0RcFD+ma8zF5/h4vVXWDerDep5l0c5ayN4uFrB291G0mfrgWuo510eQ7vXgLO9KYZ2rwEfLztsOXCtyPMqy2b/f9ClS3107doAFSrYYPKk/8Ha2hQBAf/mOc7cvAwsLY0lDw2NnKf5lq0nUK9eFQwd2hoVnK0xdGhr+Pi4YsuWnHeYijqvMuzcegDtO7dExy6t4ORsjx8nDIGVtQX27Tqc57i5M1ailW8TVKvuKne5mpoaLCzMpB4lMW9p271tF3w7tUXbzu3h6OyIUeNHw9K6LP7ccyDPcYtmLcBXX7eAu4fs1R6/zp2GTt92RkXXSnBwcsC4KROQJWTh8oVLUv00NDRgbmEueZiYmZbovpWEPTt24uuOHdCmU0c4ODth5LifUNbKCoF79+Y5bsnsOWjeuhXcPKrJLHN1d8d3Y35As1YtoaWlLWc0MH/VCrRu3w5OFSqgQqVKGD99CiJfv8a9sNty+yvTvu3b0LpDJ/h26gwHJ2cMHzsellbWOLh3T57jls6ZhWatv4abh4fMsv07d6BGHR90HzAQ9k5O6D5gILxq18b+gB2SPrv8N8PSyhrjps2Aa9VqsLa1g3ftOrAtX77E97E4lJVP3UaNUadBQ5RzcEA5BwcMGDEKevr6UsWvqti3fStad+iErzt1gb2TM4aNnfA+o915jls6ZyaatvZFFTkZHdi5Hd51fNB9wKD3GQ2CV+3aOBCwXdJnzsq1aNm+AxwruKBCpcr4adoMRL4Ox30VO+uvrHxq12+I/sNHoUGzr0p8n0qasjIq6ryljfnk70vJSDGFrYYm1MtXQuYd6QO9zDuXoeHkJndI1uNbUDOxgIbb+3dvy5hA07MhMm+dz9lYRzdk3pE+fZ15+xLUndyLPK+ypKVn4tb9KNT3lj5IqV+jPELDIuSOORn8GFUrlYXfnlA06r4FrfrvwPz15/D2XYakz9WwCNSvIb3OBjXscTXsdZHnVYa0tAzcuvUMDepXkWqvX78KQkNlL63+WMdOs9Gg4Xj07bcEISF3pZZdvfpIZp0NG7gh9OqjYs9b2tLT03En7AHq1POSaq9TzxvXr+ZeIBw8cBwvnodj0LAeufZJTUlF+5b90LZ5H4wZMQ13bz8s9rylLT09Hfdu30WtutJnhGr51MbNa7m/iXP4j0N4+fwl+g4dUKB53r19i4yMDBgZS39s4sWzF+jcoj2+9f0G0ydMwasXLwu/EwqUnc8d1PSRfhe2Zt06uHXtei6jgL//DMSrFy/Qd8jgEtuW5MQkAJDJUNnS09Nx785t1PCpK9Vew8cHt65fy2UUcCTwD7x68Ry9hwyVuzzs+nXU8PGRaqtZty7CruWsM/i/f1HJzQ0zxo9F16+a4rse3+Lw/n3F2JuSp8x8PpaZmYlTR4/gbWqq3EJZmdLT03H/zm14+9STaq/hUxdh16/mOu5o4B8If/EcvYd8J3d52PVrqPHpOuvWzzUjAEhOyn6dlTEyLuDWK54q5aOqlJVRUectbcwnf19SRpqKWKmagTHUNDQgJMZJtQuJcVArYyZ3TNbjMLzbOhc6/X4BtLShpqGJjBtBSNu7Mme9Rqby12lkWuR5lSUu4S0yswSYm+pJtZub6iM67rncMc9fJ+DyzXBoa2tg5dTWiEt4i+kr/sObxHeY81MzAEB0XIqcdeohKi6lyPMqQ1xcEjIzs2BuLn2ga2FuhKjoBLljLC2NMXNGT7i7OyAtLQN/BoagX/+l2Lb1R9SqVREAEB2dILNOc3MjREUlFHleZYmPS3i/rSZS7WbmJoiJiZM75tnTl1i11B/rtiyApqaG3D4OTuUxZeYYVKjkiOSkFOzaEYhBfcZhx94VsHewK9K8yvAmLh6ZmZkwM5N+7ZuamyI2OkbumBdPn2P98jVYsXk1NDUL9utx3bK1sCxriRp1akraqlRzw6RZv6Ccgz3iYmKxbcMWjOj7Hfz3bYexiWocVL6Jj0dWZiZMzT/Jx8wcsTG55PPsGTauWIWlfuuhUcB88iMIAlYvXoJqnp5wcnEpkXWWlDfxcfIzMjdHXEy03DEvnj2F34rlWLJxc64ZxcVEw9RM+jJtUzPpdYa/fIGDe/egS89e6DFgEO7cuolVCxdAS1sbLdqqxhVIyswHAB7fv4/v+/dBWloa9PT0MHXhYjg4VyjGHpW8BElGn+xPHhm9fPYUfiuWYvFG/3wy+vS1a5brOgVBwLrFv6GqpxecXCoWYU8UQ1XyUWXKyqgo8yoD88nfl5SRQgpbCUGQ/llNDYAgt6uatT20u4xA+pHtyLhzEepG5tDuMATa345GWsCiPNYpZ5WFmFfZ1NTUpBsEAWryuyIrS4CaGrDw569QxkAHAPDz0Hr4YeZRTBnZCLo6mrmsE1D7ZK2FmVeZPt1OAdkZyOPsbA1nZ2vJz15ezngdHge/TcclhW1B11mYeZXvk20VBJn/byD7rMavE37D4BE94eBol+vaqlV3lbpEubqXG3r/73vs3nkQYyd+/K5dweZVOnmvBzn/mZmZmZgxcRr6DxuI8g72BVr1zs07cOLIcSzbuBI6OjqSdp8GH53BqlgB7tWrokfb/+HIwb/xbe9uRdoNRfn0/0wQhFzzmT3pF/T9bgjKOziU2PzL5y3Ao/sPsHzThhJbZ0mT+X2Qx2ts7uSJ6DN0GMrll5GcdX7cJmRloZKbGwaO/B4A4OLqiqcPH+Lg3j0qU9h+oIx8AKCcoyPWBuxCUmIizp44gd+mTsGiDRtVrrgF5Gf06e9Q4ENGP6PP0OEo5+BYyHVC9vfdeyvnz8Hj+/ex2M+/EFtdepSdjxgoK6OCzqtszCd/X0JGCilsheQ3EDIzoWYkXcWrGZrInE39QLtFd2Q9uoX0k9nXXGe+eox3aW+hN3op0g9thpAQCyEhTs46c87iFmVeZTE10oWGuhqiY6Vv4hATnwpzU325YyzNDGBlYSApagGggr0pBAF4HZ0ERzsTWJjqy12nxfsztEWZVxlMTQ2hoaGO6Og3Uu0xMYmwMC/45YrVPZ0QGHhB8rOFhZHMOmNjEmFhYVSi85YGE1MjaGioy5wljYt9A7NPzqYCQEpyKm7fuo97dx5i4Zw1ALLfLBEEAXU922H5ulmoVae6zDh1dXW4Va2E509fFWleZTE2NYGGhobM2ce42DiZM0wAkJKcgrthd/Dg7n0sm7cEAJCVlQVBENCsRiMsXLNE6mZSv2/ZiR1+W7Fo3VJUqJT3mUY9PT04uTjjxTPVuSrC2MQE6nLyiY+LlXkHFgBSU1JwN+w27t+9h+XzfwOQXXwJgoCvavlgwaoV8K4tezOpvCyf/xuC/vsPSzeuh6WVVdF3RkGMTUyzM/rkDH98bCxMzGVvjJWakox7YWF4cPcuVi6YByAno1a1a2DeyjXwql0bpuYWMu9WZ+ees04zC0vYO0kXaPZOTjhz8p+S2r1iU2Y+AKClpQW78tlvQlV2c8fdsFs4ELAToyf/WpK7WSxGkow+2Z/YWJmzGMCHjG7hwd07WLlgLoCcjFrX9sLclWvhVbsOTM0tcnntyq5z1YK5CP7vNBZtyP7ctipRhXxUnbIyKuy8ysJ88vclZaSYM7aZGch6fg8alWsg8/o5SbOGaw1k3AiSP0ZLF8jKlG6T/Jxd1Wc9CYNGZW9knM75nJGGaw1kPb5V9HmVRFtLA+4VLRF05TlaNHCWtAddeYFmdR3ljvF2t8bRMw+RnJoOAz0tAMCTF2+grq4GawtDAICnmxWCrjxHvy45Bcq5y8/h6WZd5HmVQVtbE+7u9jgXdBstWuR8ljMo6DaaN5MtvnJzO+w5LC1zLv309HTGuaDb6Ncv52YRZ8/dhpenc4nOWxq0tLTg6uaCC8GhaNo85/MLF4JD0aipj0x/A0N9BOxfJdW2d9chXDp/HfMWT4StnfwDHkEQcO/OI7hUdCzSvMqipaWFSlUq41LwRTRq1ljSfun8RTRo0kCmv4GhATbv3SbV9seu/Qi9eBnTF86GjV3OTdoC/Hdg28Yt+G31Yri6V/l0VTLS0tLw7PFTeHirznMoOx9XXD5/Hg2bNZW0Xw65gHpNGsn01zcwgN/uAKm2P/fsRejFS5i2YB6s7XK/CuBTgiBg+fzfcPbUaSzZsBY2hRhbmrS0tFDJtQqunA9Gg2bNJO1Xzp9HvcZNZPrrGxhi/S7pG28d3LMLVy9exK8LFkoycvPwwOXzIejSs7ek3+WQELhVz3l+uFevjhdPn0it68Wzp7CysYGqUGY+8giCgLS0tDz7lDYtLS1UlGTUXNJ+5XwI6jZuKtNf38AQ63ZJf5Y6O6ML+HXBoo8yqo4r54M/yShIKiNBELBqwVycO3USC9f7wcauXEnvXrEpMx+xUFZGhZ1XWZhP/r6kjBR2KXL6qX3Q6T0BWc/vIfNxGLTqtYGaaVlknD0IANBqNxBqxhZI2z4fAJB5Mxja3X+EZoN2yLx9CWpGZtDuPByZT25DSMh+NyD93/3Q/X4JtL76FhnXg6DpUQ8alb3xdunoAs+rSvp1qY4JC06gaqWy8HSzwu5DYQiPTES3ttl3Yl3kF4zImGTMH59dhLVtVglrdlzCpIUnMapPLcS9eYsFG4LQpZWr5DLk3h090PunP7Bh1xU0r+uEE8GPERz6AjsWdyrwvKqif7+vMH7CZlSt6gAvT2fs2n0G4eFx6NYt+6B70aIDiIiMx4L5/QEA/ltOoJydOVxcbJCenonAwPM4eiwUK5bn3KCkT+9m6NV7EdZvOIrmzavjxIlrCA6+jZ07xhV4XlXSo08nTJ24CFXcK6JadVcc2HMEr8Oj0Pl/vgCAVUv9ERkZg+lzfoK6ujoqvC9OPzA1M4G2jpZU+4Y1O1HVozLs7W2RnJyCXTsO4t7dRxg/eViB51UV/+v9LWZPnonK7q5w96iKv/b9icjwCLT/Jvv1sH75GkRFRmPyrF+hrq4OZxdnqfGmZqbQ1taWat+5eQc2rd6AX+dOhbWtDWLen63S09eDvn72VQ+rF69EvUb1YWVjhbjYOGzdsAXJyclo3U618unaswfm/joVlau4wc2jGv7afwARr1+jXZcuAIANK1YiOjIKE2dOh7q6usxnYE1MzaCtrS3Vnp6ejqePsm+0lpGejujIKDy4exd6evqws8++ad2yefNx4u+jmLVkIfT19SXv5hoYGkJHV7c0dr3AuvTqjfm/TkYlN3dU8fDA4f37EPk6HG2/+QYA4LdiOaKjIjFhxiz5GZmZQUtHOqNO3Xvgx8ED8bv/ZtRr3ARB/57GlfPnscRvc868PXvhh/79sHPTRjRu0RJ3b97E4f37VOpsJKC8fPxWLkft+g1gaWWF1OQUnDp2BNcvX8KcFdJv3qmCLr36YMGvk1DJzR1uHtVxaP/e9xllfyek34pliImKwPgZc95nJP0ZWBMzM2jr6Ei1d+zeEz8N7o9d/ptQt3FTBP97CqHnz0tdarxi3mycOvI3pi9eBj19A5V9nSkrn9SUFLx6/kzy8+tXL/Hw7h2UMTJGWRV6AwlQXkb5zasqmE/+vpSMFFbYZoaeRpqBEbRa9YK2sRmywp/g7dpJEOKyv+dSzcgM6h99t2zGhWOArj60GnaAdsehEFKTkHXvKtICcz53lfU4DO+2zIJ2m/7Q8u0HIfoV3m2ehayndwo8ryrxbVIR8QnvsGrHJUTFJqOigznWzWoLO6vs7ymMik3Bq8gkSX8DPS1smtces1adwTcj98KkjA5aN3bB6H45dzX1drfBokktscz/PJZvuYDyNkZYPLkFqlexKvC8qsLXtybi4pOwetUhREYloFJFW6xfNxJ2dtmXL0RFvUH4R98tm56egfkL9iEiIh66ulpwcbHF+nUj0LhxzleSeHtXwOJFA7F0WSCWLw9E+fKWWLJ4MKpXdyrwvKqkRetGeBOfAL+1AYiOikUFFwcsWT0dNrbZr63oqFhEhEflsxZpiQlJmDt9BWKi42BYxgCVXCtg3eb5cK9WucDzqopmrb7Cm/gEbF23GTHRMXByccb8lQthbZt9djomKgaR4YW7G/ifu/cjPT0dU8b+ItXeb+gA9B82EAAQFRGJGROn4k3cG5iYmsDNwx1rtq6XzKsqmrZqiYQ3b7B1w0bERkfDsUIFzF2+FNa22Qd1sdHRiHyd93fafiomKgpDuveS/Lx723bs3rYd1Wt4Y8mGdQCAwD3Z7wSPGSx9p8Xx06agdXvV+vxok5atkBAfj+0b1r3PyAWzl6+ElY0tACAmOgqRrwv3fXzu1T0xec48+K9ehS1rVsGmXHlMnjcfVarl/K6q7F4V0xYuht/K5di+YT2sbe0w7KdxaO7bpkT3r7iUlU98bCzm/zoZsdHRMDA0hFPFSpizYpXMHZpVQZOWrZEQH48dG9YhNjoKDhVcMGv5KklGsdFRhX6duVf3xKQ58+G/eiW2rFn5PqMFqFIt567Qf73/Oo2xQ6Tv8D526ky0bN+hmHtVcpSVz72wWxg3dKDk53WLsz9i0aJte4ybPqsE9qzkKCuj/OZVFcwnf19KRmqC8OmdluRL/l71v+erJBksL9znmISnyxS0JapLzeGHwg0QTilmQ1SVWuEus3iT9kBBG6K6jLULdxfc16mqdadBRbPWsyhU/5fJqnXn7tJgZ1C4z74/S0pV0JaoJntDvfw7feRLywcofEZPk94paEtUk4OhTv6dPvKl5QMwo/wwn/wxo7wVNB/FfI8tERERERERUSlhYUtERERERESixsKWiIiIiIiIRI2FLREREREREYkaC1siIiIiIiISNRa2REREREREJGosbImIiIiIiEjUWNgSERERERGRqLGwJSIiIiIiIlFjYUtERERERESixsKWiIiIiIiIRI2FLREREREREYkaC1siIiIiIiISNRa2REREREREJGosbImIiIiIiEjUWNgSERERERGRqLGwJSIiIiIiIlFjYUtERERERESixsKWiIiIiIiIRI2FLREREREREYkaC1siIiIiIiISNRa2REREREREJGosbImIiIiIiEjUWNgSERERERGRqLGwJSIiIiIiIlHTLGjHaU0WK3I7VM5vhez/zPw7hWyHKnNQ9gZ8ZoxTLyt7E0qftkuhulu9+UMx26Gq9AYVqrtt/A4FbYgKMxhWqO7lYzcqaENUlOGoQnX/4vIBCp2RfcxaBW2IijL8oVDdv7h8AGaUH+aTP2aUtwLmwzO2REREREREJGosbImIiIiIiEjUWNgSERERERGRqLGwJSIiIiIiIlFjYUtERERERESixsKWiIiIiIiIRI2FLREREREREYkaC1siIiIiIiISNRa2REREREREJGosbImIiIiIiEjUWNgSERERERGRqLGwJSIiIiIiIlFjYUtERERERESixsKWiIiIiIiIRI2FLREREREREYkaC1siIiIiIiISNRa2REREREREJGosbImIiIiIiEjUWNgSERERERGRqLGwJSIiIiIiIlFjYUtERERERESixsKWiIiIiIiIRI2FLREREREREYmapiJXXtfZHE0qWqKMriYiEt4i8PorPI5Jkdu3qq0R6jqZw9ZED5rqaohIeItjtyNwLzJJql81WyO0crOGuYE2YpLTcCTsNW6+SijyvMoWuPt37Nnmj9joaDg4V8CwseNRzatGvuNuXQ3FT0MGwLGCC9YG7JFadubEcWxZswrhL57Dplx59Bs+Cg2aNS+ReUvbjp2n4ed3HFFRb1DRxRaTJnVFzZoV5fY9f/4u+vRdItN++PA0VHC2lvx89OgVLFseiGfPomFvb4ExozugRQuvIs+rbDv2XoDftrOIiklCRWdLTBrzNWp6Ocrte/7yY/QZtlmm/fDuUajgaAkA2P9XKCbOOCDT5/qZX6Gjo1WkeZVp54FQ+P1+EVGxSXBxtMCkkc1Qs3o5uX3Phz5D39G7ZNoPbx0AZwdzAEDvH37HxavPZfo09nHGuvldAAArNp/DKv8gqeUWZvo4e2BEcXenxO388xr8dl1GVEwyXBzNMWlEY9T0sJPb9/zV5+j74z6Z9sP+feBsbyb5ecveKwgIvIHwyASYGuuhVaOK+HFwfehoZ//JycjMwkr/EBw8cQfRscmwNDdAp1ZuGNarDtTV1RSzo8WwM/AG/PZcQVRMClwczTBpWEPUrGYrt+/5ay/Qd+wfMu2H/XrC2d4UAJCekYn1AZfxx/E7iIhOhlN5E4wdVA8NaznIXee6gEtYsikEfTpVx6ThDUtsv0qKMvJp1msLXkUkyqynR7tqmPJ945LZsRK0M/Am/PaEIio2BS4OZpg0rH4eGb1E33F/yrQf3thdOqPfr+CP43dzMhpYFw1r2Uv6Z2RmYeXWizh48h6i41JgaWaATi0rY1iPmir3OlNGPkkpaVi+5QL+OfcIMfGpqOJigcnDGqBaZSvF7GQxFSYjAEhLy8SqHRdx8MQ9RMWlwNrCEN91r4EuratI+hw98xDLt1zAs/A3sLcxxuh+ddCigXOx5lUW5pO/LyEjhRW21e2M0d7DBgeuvsKTmGT4OJlhYH0nLDx+D/Gp6TL9nS0McD8yCX+HvcbbtEzUdDRD/3qOWHHqAV69eQsAcDDTR8/aDjj6vpitamuEXrUdsOrfB3gel1qkeZXp9LEjWLtoAUb9PBnunl44tG8PJo8ajo17/kBZG5tcxyUnJmLBlMnwqlUHcbExUsvCrl/D7Inj0fe7EajftDnOnTqB2T+Pw2I/f1Sp5lGseUvb4cOXMHfuHkyd0h3e3hXw+64zGDxkJQ79NRW2tma5jjvy93QYGupKfjYzKyP5d2joI4z5cSN++L49vmrhiX+OX8XoMRuwc8c4VK/uVKx5leHw8RuYu/hvTB3fFt7V7fH7gYsYPHo7Du0aCVtrk1zHHdnzPQwNdCQ/m5kaSC03NNDBkT3fS7V9XNQWdd7SdvjkHcxdeRJTxrSAd1U77Dp4DUMm7MVfWwbA1soo13F/bx8IQ31tyc9mJvqSf6+Y2QHp6ZmSn+MT3qLjQH+0alJZah0VnSywaVFXyc8aGqp3gczhU3cxd9W/mPJDM3hXtcWug9cx5Oc/8Nfm3nnns6UvDA0+ysdYT/Lvg//cwaIN5zB7fAt4udvgyfN4TFxwDAAwcUR2wbEx4BJ+P3gd835uBRdHM9y8G4lJC46hjIEO+nSRfpNJ2Q6fvo+5a85gyqjG8Ha3wa5DtzBk0kH85dcDtmXL5Dru7809pZ9DH2W0bPN5BJ64i5ljmsLZ3hRnLz3DyGmHEbDsG7i5WEqt58bdCOw+fAuVnc1LfudKgLLy2bvyf8jMypKMuf8kFgMm/IlWjSsoYC+L5/Dp+5i79iymjGoEb3dr7DoUhiGT/8JfG7vnndGmHp9klPN3bZn/BQSeuIeZY5rAubwJzl56jpHT/0bA0s6SjDbuuoLfD93CvHHN4OJghpv3ojBp0UmUMdBGn07VFba/haWsfH5dcgr3n8Ri/vivUNbcAIEn7qL/hIM4tLEbrCwMFba/RVGUjEbPPoqYuFTM+rEp7G2NERufiozMnNdMaNhr/Dj7GL7vWxst6jvj+LlHGDP7GHYs7oTqVayKPK8yMJ/8fSkZKexIq1FFS1x8EocLT2IRmfgOgdfDEZ+Sjrq5/HEOvB6O0/ej8CIuFdHJaThy6zWik9LgZpNzcNXAxQL3IxNx6l4UopLe4dS9KDyISkLDjw4ECjuvMu3bvhWtO3TC1526wN7JGcPGToCllTUO7t2d57ilc2aiaWtfVPHwkFl2YOd2eNfxQfcBg2Dv5ITuAwbBq3ZtHAjYXux5S9tm/3/QpUt9dO3aABUq2GDypP/B2toUAQH/5jnO3LwMLC2NJY+PC4otW0+gXr0qGDq0NSo4W2Po0Nbw8XHFli0nij2vMmzeGYQu7b3RtWMNVHCyxOQffWFtZYSAfRfzHGduZgBLizKSx6dFl5qamtRySwvpXz5Fnbe0+e++hC6+1dC1rQcqOJpj0qhmsLYsg4A/r+Y5ztxEH5bmhpLHx/mYGOlJLQu69AS6Olpo3aSS1Do0NNSk+n1cHKsK/z1X0OVrd3RtUxUVHMwwaWQTWJc1REDg9TzHmZvqwdLMQPL4OJ/QW+HwrmqLds1dUc7aGA1qOaBNs8q4eS8ip09YOJrXr4AmPk4oZ22M1o0ron5NB9y8GyFvOqXy33cVXVq7oauve3ZGwxvC2tIQAQdv5DnO3EQ/14z+/OcOhnavgcZ1HFHexhjd21VDg5r22Lw3VGodyalpGDv3GGaOaQYjQ51Pp1AJysrHzET6OXg65AnsbY1RO5erDZTJf981dGldBV2/dkMFezNMGtbgfUY38xxnbqIHSzN9yUM6o7sY2t0bjWs7vM+oKhrUsMfmvVclfUJvR6B5XUc0qeOIctZGaN2oAurXKI+b96IUtatFoox83r7LwLEzjzB2UF3U8rCFg50xRvWpjXLWZRBw8JYid7dICpvRmYvPcPH6K6yb1Qb1vMujnLURPFyt4O2ec/Ji64FrqOddHkO714CzvSmGdq8BHy87bDlwrcjzKgvzyd+XkpFCClsNNTXYmejhXqT0ZUL3IpPgYFawgzs1ADqa6khJyzkz4mCmL3Np8t2IRDia65fYvKUlPT0d9+/chrdPPan2Gj51EXb9aq7jjgb+gfAXz9F7yHdyl4ddv4Yan66zbn2EXbtWrHlLW1paBm7deoYG9atItdevXwWhoY/yHNux02w0aDgeffstQUjIXallV68+kllnwwZuCL36qNjzlra09AzcuhOOBnWkz1DUr+OC0OvP8hzbsdcaNPh6AfoO34yQS7L7lZKahqbtF6FR24UYOmY7wu6Gl8i8pSktPRO37r1G/VqOUu31azki9ObLPMd2GrQVDTutRr8xuxByJe992nvoBnybuUJfT1uq/emLeDTsvBrNv12PH6cfxPNX8UXZDYXJzicS9WtKX/5av6YDQm+F5zIqW6chO9Hwm/Xo99M+hIRKX5Zdo5otbt2LwPXbrwEAz1+9wX/nH6NxHaecPlVtEXzlGR4/jwMA3HkYhSs3X6FRHccS2LOSI8moRnmp9vo1yiP01us8x3Ya9jsafrsJ/cb9gZCrL2TW++Gy7A90tDVx+aZ07jNW/IsmdRxRz1t6flWh7Hw+7h944i46t6oCNTXVusQ2LT0Tt+5Hob63nIzC8n4jp9Ow3WjYzR/9xv+JkKvSv7PS0jOho6Uh1aajo4HLH+Vew90GwVdf4vGLeADAnYfRuHIzHI1qy7/kXRmUlU9GZhYyswTZ55mOJi7n8/uvtBUlo5PBj1G1Uln47QlFo+5b0Kr/Dsxffw5v32VI+lwNi5B57TaoYY+rYa+LPK8yMJ/8fUkZKeRSZAMdDWioqyHxbYZUe9K7dJTRLdhp50YVLaGtoY5rL+MlbWV0NWXWmfg2A2V0NEts3tKSEB+HrMxMmJpLn0k2NTdHXEy03DEvnz2F34qlWLzRHxqa8v/r4mKiYWomfbmsqZmZZJ1FmVcZ4uKSkJmZBXNz6cshLcyNEBWdIHeMpaUxZs7oCXd3B6SlZeDPwBD0678U27b+iFq1sj8fGx2dILNOc3MjREUlFHleZYmLT3m/rdKXTFmYGSAqJknuGEuLMpg5qT3cXW2zM/r7GvqN2IJta/qjlrcjAMDZwQJzp3RC5QpWSEp+i627QtB90Eb8uWM4HO3NizSvMsS9SUVmpgBzM+nLrM1NDRAdmyx3jKW5IWaMbQn3ytZIS8tA4LEw9P9xF7Yu64Za1WWLi+u3w3H/cTRmT2gt1V69ig3mTfoajuXMEBOXjDXbQtB9xA4c9B8A048uuVSmuDepyMwSYG4q/aafuak+omPl35PA0swAM35sDvdKVkhLz0Dg8TvoP3Yfti7+BrXef265TbPKiI1PRc8fdkMQsg8gu7f3wJAetSTrGdy9JhKT38G33xZoqKsjMysLowfWQ9vmrorb4SLIM6O4PDIa0xTuFS2zC65/7qL/+D+wdWEn1Hp/NrFBTXv477uKmtVsYW9rjODQ5zgZ/Fjq0tpDp+4h7H4U9q76n+J2sJiUmc/HTgQ9QmLSO3RqqVrPHwCIS3j7PiPp1312RrKf1QcASzN9zBjdRDqjCX9i628dUcsj+3NpDWraw3//NdT0sIW9jTGCQ1/gZPATqYwGf+uV/TobuDPnddavDto2VZ37RSgrH0N9bXi6WWH1jktwtjeFhYkeDp26j+t3IuBgZ6LQfS6somT0/HUCLt8Mh7a2BlZObY24hLeYvuI/vEl8hzk/NQMARMelyFmnHqLev3aLMq8yMJ/8fUkZKfTmUbLUAAj59vIsZ4KWVazgH/wEye8y8+yrplaQNRZsXmX49N1lQRCQvb3SMjMzMXfyz+gzdDjKOTgWcp3IDqoI8yqbzHZC+HRXJJydreH80U2ivLyc8To8Dn6bjksK24KuszDzKtunmyUIstv/gbODBZwdLCQ/e3nY43XEG/jtOCcpbD2rlYdntZwizru6PTr1Xovtu0Pwy9g2RZpXmWS3SMg9H3szqZsgeVW1Q3hkIjb9flFuYbv30HVUdLKARxXpz6Y38vn4xgmW8HS3RcseG/DHkZvo/20tqBKZKAQ5be/J5ONum53P7iuSwvb81edYt+MCpvzQDB5VrPHsZTzmrPoXltvOY3jvOgCAw6fu4eA/d7Bw8tdwcTTHnQdRmLP6X5Q1N0SnVm6K2M1iKVRG5U3hXN5U8rOXmw3Co5KwaU+opHCbPLwRfl1yEr4Dd0ANQHlbY3RuWQX7j90GAIRHJmLO6jPwm9dB5oySKirtfD619+8wNKztoHKfi/yYzO8cQcj1L65sRtbZGe29KincJg9rgF+XnIbvwICPMnLF/mN3JOMOn36AgyfuYeHPLeDiaIY7D6MxZ81ZlDU3ULk3AZSRz4LxX2HSolNo3H0LNNTV4FbREm2bVkTYA9V5k/9jhckoKyv7mGXhz1+hzPv7afw8tB5+mHkUU0Y2gu77E0Ky6wTUPllrYeZVJuaTvy8hI4X8xUx+l4nMLAFldKVXb6gje8b1U9XtjNHVuxy2XXiK+1HSZ38S32bIXWfS+9PixZm3tBmZmEJdQwOx0dK/QONjY2XOpgJAakoy7oXdwoO7d7BywVwAgJCVBUEQ0Lq2F+auXAuv2nVgam6B2BjpG0rFx8XC1My8SPMqi6lp9ucao6PfSLXHxCTCwjz3m9p8qrqnEwIDL0h+trAwkllnbEwiLCyMSnTe0mBqkv2ZouhPzpLGxCXD4pOzlHmpXrU8Ao9cy3W5uro6qrnZ4cnzmBKdV9FMjfWgoaEmc3Y2Ji5F5gxTXjzdbRB4LEymPfVtOg6fvIPvBzTIdx36etqo5GSJpy/iCjyvopka60FDXU3m7GxMfCHzcbNB4D85BcfyzcFo36IKurapCgCo7GyB1LfpmLL4BL7rWRvq6mr4bd0ZDO5eC22aVZb0eRWRgPU7L6pUYZtnRoX4zLSnqzUCT+R8LMLMRA+rprfBu7QMxCe8RVlzAyzaGIxy1tm/Y27dj0JMfCq6DM+5Q3dmloBLN15hx5/Xcf3wMJW4GZmy8vnYy4gEBIe+wIqpXxd9RxTI1Eg3l4xSC/c6q2KFwBP3JD9nZ/S1dEZ+IShnnXN12m8bgjC4mzfavD9DW9nJHK8iErH+9ysqU9gqMx97W2NsX9QRKanpSEpJQ1lzA4yZfVSqjyooSkaWZgawsjCQFCQAUMHeFIIAvI5OgqOdCSzkXJ0TE58Ki/dn10rq/0bRmE/+vqSMFPKXMVMQ8DI+FRXLSr97WqmsIZ7mcokbkH2m9tua5bHz4jPceS17G/+nsSly1/nk/Vf5FHVeZdDS0kJF1yq4cj5Yqv3K+RC4eXjK9Nc3MMS6XfuwZuduyaNNl64o5+CINTt3w7VaNQCAm0d1mXVeDgmCW/XqRZpXWbS1NeHubo9zQdLv0AcF3YaXl3Muo2TdDnsOS0tjyc+ens4y6zx77ja8PJ1LdN7SoK2lCXdXG5y78FCqPejCQ3h52OcyStbte+GwNM/9D7kgCNl93t9AqqTmVTRtLQ24V7JG0KWnUu1Bl57Cq2rBbzATdj8SluayZ4L+PnUXaemZaNci/0IsLS0DD5/FyF2PsmTnUxZBl6U/Qxx0+Rm83G1yGSUr7EEkLD96QyP1bQbUP/nLoq6uBkEQ3l8ZAqS+y8Cn3zairqGGLEG1rqyRZHRF+pKpoCvP4eVuncsoWWEPo2BpLvtHXEdbE1YWhsjIzMKxsw/RrG7255B9vMohcH13HFjbTfKoWqks2jWrjANru6lEUQsoL5+P7T96G+YmemisYp/P/kBbSwPuFS3lZPQCXm4F/1qZsAfRUq+zD/LKKPt1Jv1CU1dXrdeZMvP5QF9PC2XNDfAm8S3OXnout48yFSUjb3drRMakIPmjbwN58uIN1NXVYP3+ygZPNyuZdZ67/ByebtZFnlcZmE/+vqSMFHaN03/3o9CtVnm8iEvF09gU1HE0g4m+FoIfZZ/1+drdGsa6Wvj9cvbOepYzQbea5fHn9Vd4Fpsi+dxsemYW3mZkfybi7INoDGtUAU0qWeLWqwS42xqhYtkyWPXvgwLPq0q69OqDBb9OQiU3d7h5VMeh/XsR+Tocbb/J/ooQvxXLEBMVgfEz5kBdXR1OLtKfizExM4O2jo5Ue8fuPfHT4P7Y5b8JdRs3RfC/pxB6/jwW+/kXeF5V0b/fVxg/YTOqVnWAl6czdu0+g/DwOHTr1ggAsGjRAURExmPB/P4AAP8tJ1DOzhwuLjZIT89EYOB5HD0WihXLh0rW2ad3M/TqvQjrNxxF8+bVceLENQQH38bOHeMKPK8q6d+jHsZP3Y+qVezgVa08dh24hPDXb9Ctc/blrotWHUdEZAIWTM/+flX/gCCUszGFi3PZ7IyOXMPRk2FYMb+bZJ0rN5xC9arl4GhvjqTkd9i6KwR37r3G1PFtCzyvquj3v5qYMPsQqla2hqe7LXb/dQ3hkQno1j77jZ5F6/9DZFQi5k/OvsR6y55LsLM2houTRXY+x8Nw7N97WD6zg8y69x26jq8aVJT7mdn5q0+haT0X2FqVQUxcCtZsDUFScho6tnZX7A4XUr+u3pgw9yiqVraCp5sNdv91A+ERiejWLvuO64s2nEVkdDLmT2wFIPv7ae2sjeDiaI709CwE/nMbx/57gOXTcp4bTes6wX9vKKq4lEX1KtZ4+jIeyzcHo1k9Z0lB1rSuE9buuAgbKyO4OJrh9v0o+O8JRZevVeds7Qf9unhiwvzjqFqpLDyrWGP34VsIj0xCt7bZZ6QX+QVlZzShBQBgy/6rsLMygouDGdIzsm9qdOzMQyyfknNG8drt14iITkYVFwtERCdj5dYLyMoSMOhbbwDZn/+r5CR9BY2eriZMjHRl2pVNGfl8kJUl4MDRO+jYwhWaKlLsy9OvS3VMWHAiOyM3K+w+FIbwyMSPMgpGZEwy5o//CgCwZf812FmVgYujWfbr7MRdHDv7CMuntJKs89rtCETEJKFKhfcZbbuIrCxg0P9yvi6rqY8j1gZchk1ZQ7g4mOH2g2j477+GLq2kb46obMrK58ylZ4AAOJUzwdNXb/DbhiA4lTNB51aqcTb7Y4XNqG2zSliz4xImLTyJUX1qIe7NWyzYEIQurVwll5D27uiB3j/9gQ27rqB5XSecCH6M4NAX2LG4U4HnVRXMJ39fSkYKK2yvvXwDfR1NfOVqBSNdTbxOeAu/c08k3yVrpKsJE/2c78X0cTKDhroaOnvaobNnztmUS09jsety9h0Tn8amYMeFZ2jtboVWblaISUrD9gtPJd9hW5B5VUmTlq2REB+PHRvWITY6Cg4VXDBr+SpY2WR/RiQ2OgqRr/O+s+Sn3Kt7YtKc+fBfvRJb1qyETbnymDxvgeQ7bAsyr6rw9a2JuPgkrF51CJFRCahU0Rbr142EnV32gV1U1BuEv4qV9E9Pz8D8BfsQEREPXV0tuLjYYv26EWjcuJqkj7d3BSxeNBBLlwVi+fJAlC9viSWLB0u+w7Yg86oS3xbVEPcmFav9TiMyOhGVKpTF+iW9YGdjAgCIik5EeETOZdXp6ZmYv/woIqISoKujBRcnS6xf0guN6+d8VU1C4ltMmRuIqJgklDHUhVsla2xfNwAe7uUKPK+q8G3mivg3qVi1NQhRMcmo6GSBdfO7wM46+yx+VEwSXn10F/X09EwsWHMaEVFJ0NXRhIujOdbN74LGPtJn6x8/j8XlGy/ht1D+m0ERUUn4acZBxL9JhamJPqq72WDXmp6SeVWFb9PKiE94i1VbQxAVm4KKjuZYN7cD7N5f8hkVm4xXkTk3TUvPyMKCtWcQEf1RPnM6oLFPzutnWO86UFNTw7JNQYiIToKZiT6a1nXC6IE5d2L/ZVRTLN8UhBlLTyImPgVlzQ3xbdtqGN6nTuntfAH5NqmYndH2i4iKTc7OaHZb2L3/nt+omJRPnkNZWLD+XE5GDmZYN6ut1BnFd2mZWOYfgufhCdDX00Lj2g6YP+Erlf1Kn7woM5+gK8/xKjIRnVurVqH2qeyM3mHVjkvZGTmYY92strCzyr4KJio2Ba8++saH9IwsLNgQhIjo5I8yaoPGH93N+F16Bpb5X/goI3uZjH4Z0RDLt1zAjBX/ISY+FWXNDfCtrzuG96pZejtfAMrKJyk5DYs3heB1dBJMyuiiRQNnjOlfB1qa0ndTVgWFzchATwub5rXHrFVn8M3IvTApo4PWjV0wul/O71hvdxssmtQSy/zPY/mWCyhvY4TFk1tIvn+0IPOqCuaTvy8lIzVBKNg1KeP25/29hp+b3zrLfkdsXp4mvVPQlqguh8IehAmnFLMhqkqtaeH6v9mVf5/PjfG3heouvN6ooA1RTWrWgwrVX3i5RkFborrU7IYVqr/wbIWCtkQ1qdmPKlT/Ly0foAgZPV2moC1RTWoOPxSq/5eWD8CM8sN88seM8lbQfFT32h0iIiIiIiKiAmBhS0RERERERKLGwpaIiIiIiIhEjYUtERERERERiRoLWyIiIiIiIhI1FrZEREREREQkaixsiYiIiIiISNRY2BIREREREZGosbAlIiIiIiIiUWNhS0RERERERKLGwpaIiIiIiIhEjYUtERERERERiRoLWyIiIiIiIhI1FrZEREREREQkaixsiYiIiIiISNRY2BIREREREZGosbAlIiIiIiIiUWNhS0RERERERKLGwpaIiIiIiIhEjYUtERERERERiRoLWyIiIiIiIhI1FrZEREREREQkaixsiYiIiIiISNRY2BIREREREZGosbAlIiIiIiIiUVMTBEFQ9kYQERERERERFRXP2BIREREREZGosbAlIiIiIiIiUWNhS0RERERERKLGwpaIiIiIiIhEjYUtERERERERiRoLWyIiIiIiIhI1FrZEREREREQkaixsiYiIiIiISNRY2BIREREREZGo/R/bwt6pp3qeaQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FxRV7tlbd8gHKn9G4cePQq1cvtG/fHuPHj4eFhQWuXLmChQsXwtPTU3JZ+zvqllF587l79y727t2LRo0aQU9PD7dv38aiRYvg7u6OuXPnyoynyvlU5n5hafazVSmzyt53LmlbVcmoMvMpzX62QvOp8CfjFpCVlSXo6uoKkydPlpo+dOhQQVdXV+jVq5fU9JYtWwpdunSR6Sc5OVkYO3asYGNjI+jq6gpeXl7Crl275I556tQpAYBw8+bNilsRBaqojJycnAQAcn+ePn0q1VadMqqIfFq1alVoNvLeBh9aPps2bRJatmwpWFhYCNra2oKJiYnQqlUrYdu2bXLHVKd8BKHi3mMFDR48WDA0NJT7mjplVBH5LFy4UGjQoIFgbGwsaGlpCZaWlkLv3r2Fa9euyR1TnfIRhIrbhtLS0oTJkycLDg4Ogra2tuDo6ChMmTJFyMjIkGmrThlV5Husffv2gqGhoZCUlFTkmOqUjyBUXEanT58WOnToINjY2AgGBgZCzZo1he+//16IiYmRaatOGVVEPg8ePBD8/f0FMzMzQVdXV3BzcxOmT58upKSkyB1TVfNRxn5hSfezVSUzZWRU0raqkFFl51Oa/WxF5qPwwra0AgMDBS0tLeHVq1dl7uOzzz4T/Pz8KnCpVAszKhrzKRrzKR4zKhrzKR4zKhrzKR4zKhrzyVcRWZSUumbGjIr2X8lH5QpbkUgk+Pr6CmPGjCnT/OHh4YKOjo5w/vz5Cl4y1cGMisZ8isZ8iseMisZ8iseMisZ8iseMisZ88pU3i5JS58yYUdH+K/lUys2jSkNDQwMbNmyAra0tRCJRqed/8eIFVq5cKfNdpf8SZlQ05lM05lM8ZlQ05lM8ZlQ05lM8ZlQ05pOvvFmUlDpnxoyK9l/JR0MQ8p4zQERERERERKSGVO6MLREREREREVFpsLAlIiIiIiIitcbCloiIiIiIiNSadkkbTtwXosjlUDk/95F9aHxR9jyIUtCSqK7+taxK1f5SRKKClkQ1+VU3LlX70LhUBS2J6qpjZliq9o8S0xW0JKrJ3digVO0fJ2UoaElUl2s1/VK1f5r8YWXkYlS6fJ6nZCpoSVSXU1W9UrX/0DJiPsVjRkVjPsVjRkUraT48Y0tERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGqNhS0RERERERGpNRa2REREREREpNZY2BIREREREZFaY2FLREREREREao2FLREREREREak1FrZERERERESk1ljYEhERERERkVpjYUtERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGqNhS0RERERERGpNRa2REREREREpNZY2BIREREREZFaY2FLREREREREao2FLREREREREak1FrZERERERESk1ljYEhERERERkVrTVmTnzWqYo7W7JYz0tRGZlIGDIW/wNDZNbtu6ttXQzMUctiYG0NbUQGRSBo7fj8TDqBSpdvVsq6Gjpw3MDXURm5qFY/fe4u6bpDKPq2xXj+7H+X27kBIfCytHZ3QZPhbOderLbfvsXgiOb16D6NcvkJ2ZARNLGzTu1APNew6Qahd66SxO7tiIuIg3MKtui/afjYBnM/8yj6tMpw8E4u8/tiEhNhZ2LjXwyTfjUdPLW27bhyHB2LN+JSJePENWRibMrW3QukdvdOz/iaTNhb8PI+CnOTLzrv/nPHT09Mo0rrL9vfdP/LVjK+JjY+DgUgPDxv0AzwY+ctvevx2EratW4PXzZ8jKyIClTXV06NUH3Qd9Jmnzv6+/QmjQTZl5ffxaYPqSFQCAPzauxZ8B66VeNzEzx6YjJypwzSrGkcDd2LdtC+JiY+BYwxVfjZ+Iut7y8wkNDsLmlcvw6tkzZGZmwMqmOjr17oten3wu1e6vXdtxdO8eREe+RTVjEzT/qB0GjxkL3bxtaFjPzoiKiJDpv2u/jzF60tSKX8lyOLxnN/Zu34y4mBg41XDFiAmTisjnFjb9thyvnj9FZoY4n859+qH3e/nk5GTjz98DcPLIIcRGR8HeyRlDvxmHRn7N5fa5+/cAbFm9Aj0HfoqR309SyDqW16E9uxG4LT+jUd8XntHd4FvYtGI5Xr6XUZc+/dDnU+mMdv8egJOHDyEmL6Mvv5XO6IvunREV8Uam/279B+Cbyaq1DR388w/seS+f0T9MQj3vhnLb3g26hY2/LcPLZ/n5dO3bH33fzyc7G3/8HoAThw8iJjoKDk7O+HLsODT2ayFpk5uTg63r1+D030cQHxsLMwsLdOjWE58MHwFNTdU7Zq+MjNJSU7FlzUpcPHMaCfFxcKvlgdE/TEatOnUVvr6lVZp83hcaHITvRwyDs6sb1u7aI/Xa+VMnsGXNKkS8eonq9g4Y8vW3aPFR2woZVxmYUdGYT/E+hIwUVtjWtzNGD6/q2B/8Bs9iU+HrYoYvm7vglxMPkZCeLdO+hoUhHkWl4O97b5GRlYtGzmYY6ueM386E401iBgDAyawKPm3ihH/yitm6ttXwWRMnrDoXjpfx6WUaV5nunD+FoxtXoPuoCXCsXQ/Xjx3E1tkTMXbVNphYWsu019XTR9OufWHj4gpdPX08vxeCv1b/Al09AzTu1AMA8CLsLnYvnoW2n34Jz2b+uHf5X/yxeAa+WrQKDrXqlGlcZbl6+gR2rlyKz8dNgnu9+jh7cD+WThqH+Vt2w9zaRqa9noEB2vbuD4cabtDTN8DDO7exZelC6OkboHX33pJ2BoaGWLhV+o35flFb2nGV6cLJf/D7sl/w1cQpqO1VH//s34t5E77F8p2BsLSpLtNeT98AXfoNgJObO/QNDHD/dhDW/jQfegYG6NCrLwBg0sJfkJOT/15JTkzEhC8Gwu+jdlJ9OdRwxawVayS/a2pqKWgty+7fE/9gw9KfMXrSVHjWb4C/9wdi1rgxWL17H6zk5KNvYIBu/QfCOS+fe7eDsXLhXOgbGKBT734AgDPHjmDzqhX4bvos1Paqj9cvnmPZnJkAgK8mTAQA/Lp5B0S5Ikm/z5+EY/o3o9C8bftKWOuSO3f8GNYvXYyvJ08T57MvEDO++xpr/9xfaD7dPx4Il7x8QoOD8NvCudDXN0DnPuJ8tq5ZiTN/H8HYaTNh7+SCW1cuYd6k8VgSsAWutWpL9fcw9C6OHQiEi3vNSlnfsjh3/BjWLVmMMT9OQ536DXB0XyCmj/0a6/cUkpF+Xkbu+RmtWCDehrrkZbRl9Uqc/vsIvps2Ew7OLrh55RLmTByPpQFb4OYhzmjFVult6NnjcEwdMxItVWwbOnv8GNYuWYxvf5yGOg28cWTvHkz79mts3HMAVtXlb0M9Px4IF/ea0DcwwN3gICyfPwf6BgbompfP5jUrceroEYyfLs7nxuWLmP3DeCzbtFWSz+4tm3AkcA8mzp4HJ1dXPLwXiiWzZ8CwalX0/uQzmXGVSVkZ/Tp3Fp49DsekufNhbmmFU0cPY/LoEdgYuB8WVqrzv760+byTmpyMxTOmwbtxU8THxUq9di/kNuZPmYTBo8ageZu2uHjmFOb/OBFLAzajdj2vco2rDMyoaMyneB9KRgo7rOnvbonrz+Jx7VkcopIzcTAkAglp2WhWw1xu+4MhETj7KBqv4tMRk5qFY6FvEZOSBc/q1SRtWrhZ4FFUMs48jEZ0SibOPIxGeHQKWrpZlnlcZbr41240bNcVjTp0h5WDM7p+NRbGFla4dnS/3Pa2rjVRv1U7WDu6wNS6Ohq06Qh37yZ4du+2pM2lg3vg2qARWvX/HJb2TmjV/3O4ejXEpYP5hVxpx1WW43t2wr9LD7Tq1gu2Ti745NsJMLOyxum/9spt7+ReC75tO8LOxRUW1W3h16Ez6jb2xcOQ4AItNWBsbiH1U55xlenQrh1o270X2vfoDXvnGvhy/ESYW1njn32BctvXqOWBlh06wbGGK6yq26JVp65o0LQZ7t8OkrQxMjaGqbmF5Of2tSvQ09OH30fSO9RaWlpS7YxNTRW6rmVxYOc2tO/RGx179YGDSw2MmDAJFtY2OLp3j9z2rrU80KpjZzi5usHa1g5tOneFj68fQoPz8wm7E4LaXg3QulMXWNvawcfXD/4dOuHR/XuSNsamZjC1sJD8XLvwL6rbO6CeTyOFr3Np7N+5DR169kanXn3g6FIDI7+fBEtrGxwJ/FNue9datdH6vXw+6tINDX39cDf4lqTN6aNH8PGQ4WjcvCWq29uja7+P4ePrh33bt0r1lZ6WhsUzpmDs1JmoalSt4FAqY9+ObejYszc652U0Ki+jw4Vk5OZRG206dYazqxtsbO3Qtks3NGzmh7tB+RmdOnoEA4YOR5MW4oy69fsYDX39sHdHfkYmpmYws7CQ/LzbhrwaqtY2tHf7VnTq2Rude/eFo0sNjP5hMiytbXCoyHy6SPJp16UbGjVrLpXPySOHMWhYfj7d+w9AQ18/BL63Dd0PCUGz1m3QtKU/bGzt4N+uAxr6NsPD996HqkIZGWVmZOD86ZMYPnY8vHwawc7BEV+M/Bo2dnaFjqsspc3nnWUL5qJNpy6o7eUl89r+ndvh09QXg4YNh6OLCwYNGw7vJk2wf9f2co+rDMyoaMyneB9KRgopbLU0NGBnYoCHUclS0x9GpcDJrEqJ+tAAoKetibSsXMk0J7MqMpcmP4hMhrN5lQobt7LkZGfjTfhDuHk3kZru5t0YL8LulqiPN48f4kXYXbjUbSCZ9jLsLty8G0v36dNE0mdFjFsZcrKz8exBGOo0bio1vU7jpngcGlKiPp4/eoDwuyGoVV/6EuLM9HT8MKAHJvTrhmU/jsfzRw8qdNzKkp2djccP7qN+E1+p6Q2aNkPYnduFzCXtyYMwPLgTAs8iLgk5degvtGjfAfoGBlLTI16+wJfdO2BUn25Y8r8f8fb1q9KvhAJlZ2cjPOw+vJs2k5ru3dQXYSEly+fxgzDcD7mNuu/l41nfG4/D7uFB6B0AwNvXr3Dj0gU0btGy0OU4+/dRtO/eExoaGmVcm4r3Lh8fmXya4X6J87mP+yG3pQr27Ows6OrpSrXT09ND6O1gqWmrFy9Ak+b+8G4qvf2qkuzsbDwKuw8fX+mMfHxLnlF4WF5GDQtkpCudka6eHkKDgwtdjtNHj6Bjj14qtw2J8/GTmt7QtxnuyRxQlC887D7uhQTDyyf/PZadnQWdAvno6etJHWCq08Abwdeu4tXzZwCAxw8f4G5wEJo0bwFVoqyMcnNzIcrNlf9efC9HZStrPv8cPICIVy/x+YhRcl+/F3IbDQv22aw57t2+Xa5xlYEZFY35FO9DykghlyIb6mlBS1MDyRk5UtNTMrNhpG9Uoj783S2hq6WJ268TJNOM9LVl+kzOyIGRnnaFjVtZ0pISIRLloqqJ9FkuQ2NTpCTEFTnv4qF9kJqYAJEoFx8NHIpGHbpLXktJiENVEzOp9lVNzJASH1fucStTct76VTOVPtNubGqGuwUuhShoQr9uSE6MR25uLnoN+QqtuvWSvFbd0Qlf/jgD9jVckZGWihOBu7Hgm+GYHbADNvaO5Rq3siUnJECUmwsTM9llTShmWYf36ISkhHiIcnPx8Zcj0b5Hb7ntHoXexYsn4RgzdYbU9Jp16mHsjLmwdXBEQlwcAjdvxNQRQ7F85x4YGZuUa70qyrv1MzWXfj+YmpnjVmxMkfMO7tYBifHi+Qd9NQode/WRvNaqQyckxcdj8ldDIQhAbm4OuvTtj/6Dh8nt68rZ00hJSUbbbj3Kv1IV6F0+BbcfU3NzxBeTz+dd20vy+eSrUej0Xj4+vn7Yv2Mb6no3RHV7BwRfv4or584iV5R/kPLc8b8RHnYfy7fsrNiVqmCSbahgRmbmiIspOqPPuogzys3NxacjRqHzexk19PXDvp3bUM8nL6Nr4oxE72X0vst521D77qq5DZmal34b+qRzO0k+n40Yjc69+0pea+Trh307tsErL5+ga1dx+ax0PgOGDENqSgq+7NsTmppaEIlyMeTrb9GmU5eKXclyUlZGVQwN4elVHzs2roejSw2YmJnjzD9/I+zuHdg5Olb8ipZRWfJ5/eI5An5bhqUbN0NLW/5ubHxsDEzNCn72m0n6LM/fpbIxo6Ixn+J9SBkp9OZRsjQACMW2amBvgg61rbH58jOkZsr/Ry/pUaMkPZZsXKWQe/S96CPywxeuRFZGOl4+CMXxretgVt0e9Vu9//1H6fkFQZA9yl+GcZWh4GIKgoDilnPKb+uQkZ6OJ/fuYs/6lbCys4dv244AANc69eBap56krVvd+pj11ec4te9PfDr2h3KNqyyyf0oBGsUs6/y1AchIS8PD0DvYtvo3VLd3QMsOnWTanTx0AI413OBe4GYjPs3yb3LjBKBWPS983a8Hzhw9jB6DVOv7bSV6PxTw07rfkZGehrC7IdiycgVs7R3QqmNnAEDIzevY/ftGjJ40FbXq1sObly+xYeli7LJYj0FfjpDp6/jBA2jYrDnMLa0qbpUqUMEsSpLPz+t/R3p6Oh7cCcHvq5bD1sERrfPyGfX9JCyfPwcj+/cCNDRQ3c4e7br3xMlDfwEAot++xbolizHvt7WSm22pvDJk9MsGcUZhd0KwaeVy2No7ok2nvIx+mITl8+bgq369JBm179ETJw7+JbevY3/tR2M/9dqGivu8XLJxMzLS0nD/TggCVi6HnYODpCgdPXEyfp07G1/27QloaMDW3h4devTE8ffyOXv8GE79fRg/zl8E5xquePzwAdYsWQxzS0t06N6zwtexvJSR0aQ5C7BkzgwM6tQOmlpacM+7xDk87H6Fr195lTSf3NxcLJz2I74Y+TXsnZxL2Sdk3stl+bsoCzMqGvMp3oeQkUIK29TMXOSKBBjpS3dfVU/2jGtB9e2M0d/HHtuuPcejaOnLjpMzcuT2mZKZU+5xK1uVasbQ1NSSnEl9JzUxXuZsakFmNrYAABtnV6QkxOPMH5skhW1VEzOkJEifrUtNjIdhXp/lGbcyGRmbQFNTC4kFzjwmJcTDuMDRoYIsq9sBABxquCExLhZ/bd4gKWwL0tTUhIuHJyJfvSz3uJXNyMQEmlpaiI+VXtbE+OKX1dpWnJGTmzsS4uKwO2CdTGGbmZGOiyePY+BX8i9BeZ++gQEcXd0Q8fJFKddCcaqZmMrNJyE+TuYsZUE2duJ8nN3ckRAbh50b1koK2+1rV+OjLl0lZ3Gd3dyRmZGOlQvmYsDQ4VJ3ZI2KeIPb169i6k9LKnLVKkR+PtJHTRPiSpKPPQDAxc0d8XGx2LF+jaSwNTY1w4xfliErMxNJiQkwt7TC7yuXwdpW/Ln1KOweEuLiMPaLQZL+RLm5uBt0E4f2/IG/Ll6HlpZq3Iis0Izi42SOQBcklVFsLLavXyMpbE1MzTBziXRGm35bBms7W5l+IiPeIPjaVfxv8dIKWquK8y6fgmevE+KKz6f6u3zcayI+Lg7b1q+RFG0mpmaYvXS5VD4Bvy2TvC8BYMPypRg45Eu0ydvuXNxrIjIiAn/8HqBSha0yM7J1cMCSDb8jPT0NaSmpMLe0xPwfJ8LG1k7ueMpQ2nzS01Lx8F4owh+EYeXihQAAQSSCIAjo1MQbC1euhXeTpjA1t0CcnM/+d1dflOfvUtmYUdGYT/E+pIwU8h3bXEHA64R0uFtVlZpe06oqnscV/tidBvYmGNDIATuvv0DY22SZ15/Hpcnt81neo3zKOq4yaOvowNatJsKDr0tNDw++DkePUtyKXxCQk51/B1sHj7p4HHxDus+g/D4rbFwF09bRgXMtD4TeuCY1/d6Na3CtI/sF9qJkZxV+N2xBEPAi/KHkBlIVOa6i6ejowLVWbdy+flVq+u1rV+BRr+SPbhIEAdlZWTLTL546gezsLLQqwaV92VlZePXsKUwL3IhLmXR0dODmURvB1y5LTQ++dhUeXqXIBwKys/PzyczMgIaG9EenpqYmBAh5RyHznTj0F4xNzdC4ufzv3yrTu3yCrl6Rmh507QpqlyYfQUB2tux7TFdPDxZW1sjNzcHF06fg26oNAKBB46ZYvSsQK7fvlvy4166D1p26YOX23SpT1ALijNzlZXS1lBmh+IwunD6FZnkZve/4QfE21KSQ73Ar07t8bl2Vfo/dunoFnl4NStyP+DOoiHxycnDh1Ek0a9Va8lpmRobMWQBNTU2Z96CyKTOjdwwMqsDc0hLJSUm4cfkSmrWW3c6UpbT5VDGsinW792LNzj8lP1379oe9kzPW7PwTHvXEV2R5etWX6fPmlUvwrF+/TOMqEzMqGvMp3oeUkcIuRf73UTQGNnbAq/h0PI9LQ1NnM5hU0cHlJ+LKvnMdGxjr6+CPm+IzZQ3sTTCwkQP+CnmDF3Fpku/NZueKkJEjfuTBhfAYjPZ3Reualgh9k4Q6ttXgbmWEVefCSzyuKmnecwACf50HOzcPOHjUwY1/DiIxOgqNO/cCABzfshZJcTHoN346AODKkX0wsbSGhb34+zHP74XgwoE/4Nst/3s3ft37YeOUb/Hv3h2o3bQF7l+9gMe3b+CrRatKPK6q6ND/E2xYMBPOtWrDrU49nDu0H7GRb9Gmh/hM2Z71q5AQE4Wvps4GAJzavwfm1jawcXQCADy6cxvHdm9H294fS/o8sHkDXD3rwtreERmpqTixbzdehj/E5+MmlXhcVdJ90KdYMft/cPOojVr1vHD8wD7ERL5Fh7zvYm1f/Rtio6Pw3cy5AIC/A3fDwtoGds4uAMTPtT24cxu69B8g0/epQwfQxL+13O/Mbl7xKxq38IeFjQ0S4+MQ+PtGpKemonWXbopb2TLo9cnnWDpzGtxq10Htel44tn8vot9GSB67snnVCsRGReH72fMAAIf3/AFLm+qSS2/u3Q7C/u1b0f3jgZI+m7Twx4Fd21Gjlgdq1amHiFcvsH3dajRt2UqqKBOJRDh5+CDadu1e6PdTlK33J59jycxpcPf0hEe9+vn59O0PAPh95XLERkfhh9nzAQCH/vwDVjY2sM/bfkKDg7Bv+1Z0H5B/9jXsbghio6JQo6YHYqOjsGP9GggiEfp9MQSA+Lt/zm7uUsuhb2CAasYmMtNVQZ9PP8fPM6bBvbYnanvVx9/79iLqbQS65mW0aeVyxEZFYeIccUYH8zJyeC+jvdu2okeBjGKiouCal9H29WsgCCL0z8voHZFIhBOH/kL7bqq7DfX97Ass/t9U1PSsA0+v+jiyLxBRbyPQrZ84n4DfliM2OhKT5iwAIM7H0sYGjnn53A0OQuC2Leg5MD+f+3dCEBstzicmOhLb1q2BSBDh48FDJW18W7bCrk0bYGVTHU6urggPC8u7g3Wvylv5ElJWRjcuXYQAAfZOzuKvTCxfCnsnJ3RUoTPaQOny0dTUhEuBzwkTMzPo6ulJTe816FN8/9VQ7N68Cc1atcHlc2cQdPUqlgZsLvG4qoQZFY35FO9DyUhh/ylvv05EFT1ttPOwRjV9bbxNykDAxWeSZ8lW09eGSRUdSXtfFzNoaWqgTwM79GmQf5nMjedx2H1TfLfV53Fp2HHtBTrVsUZHT2vEpmRh+7XnkmfYlmRcVVKvZVukJSfhzO7NSI6LhbWTCz6fsRimVuJnpSbHxyIhOlLSXhBEOL51HeIjI6CppQUzG1t0+GIkGnfK/yflWLsePp44Eye3b8SpHRthZmOHARNnS55hW5JxVUXTj9ojNSkRB7cEIDEuBnYurhj/06+wyHt2ZGJsDGIjpfMJXL8K0W/fQEtLC5a29ug3Ygxad88vSNNTkrFlyUIkxsXCwLAqHN1r4scV61Cjdp0Sj6tKWrTriOTERPy5aQPiY2PgWMMV05asgFV18SWN8bExiIl8K2kvEgRsX7sSUW9eQ0tLG9Z29vjs628lz7B9582L57h/Oxgzlq+WO25sdCSWzpyC5IQEVDMxRc269bBo4xbJuKrCv31HJCcm4I+AdeIHg7u6YdavK/PziYlGdGSEpL0gErBl1QpE5uVT3d4eQ8aMRae8QhgABg77ChoaGti+dhVio6NgbGKKJi398fnob6TGDr52BdFvI9C+e69KWdeyaNWhE5ITE7Fz43rExUTD2dUNs5etgrUknxhEv83ffgRBhM2rVuDte/kM/eY7yTNsASA7Mwtb167C29evYGBQBY2at8APc+ar9CN9itKqQyckJSZix8b1iI+JhpOrG+Yuz88oLiYGUe9nJBLh95XSGQ379jvJwRQAyMrMwtY1qxCRl1Hj5i0wUU5GQdeuIOptBDr06FUp61oWrTt0QlJCAnZsWIe4vHzmrXg/n2ipfEQiETatXI63r8X52Nrb48tvv5McKADEV4BsXr1Skk+TFi0wee4CqXzGTJqCLWtW4rdF85EQHwdzC0t06dsPn5XgqxOVTVkZpaakYNPK5YiJioRRNWO0aNsOQ7/+Fto6+fteqqC0+ZREnfoNMHXBT9i8eiW2rFmJ6vYOmLZoseTZmiUZV5Uwo6Ixn+J9KBlpCCW8bmfiPtV61Imi/dyndJed7nkQpaAlUV39a5XuRiaXIhIVtCSqya+6canah8alKmhJVFcdM8NStX+UmF58o/8Qd2OD4hu953FShoKWRHW5VtMvVfunyR9WRi5GpcvneUqmgpZEdTlVLd1NzD60jJhP8ZhR0ZhP8ZhR0Uqaj0K+Y0tERERERERUWVjYEhERERERkVpjYUtERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGqNhS0RERERERGpNRa2REREREREpNZY2BIREREREZFaY2FLREREREREao2FLREREREREak1FrZERERERESk1ljYEhERERERkVpjYUtERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGqNhS0RERERERGpNRa2REREREREpNZY2BIREREREZFaY2FLREREREREao2FLREREREREak1FrZERERERESk1rRL2nDW2QmKXA7V0+dkqZr3DZ2soAVRYbV+L1Vz3+eLFLQgKqr6wlI193z9q4IWRIWZTS9Vc7eolQpaEBVlPLFUzWtEr1LQgqiwat+XqrlzzBoFLYiKMhpfquaO0asVtCAqrGopM4pdq6AFUVFVvytV8w8uH4AZFYf5FI8ZFa2E+fCMLREREREREak1FrZERERERESk1ljYEhERERERkVpjYUtERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGqNhS0RERERERGpNRa2REREREREpNZY2BIREREREZFaY2FLREREREREao2FLREREREREak1FrZERERERESk1ljYEhERERERkVpjYUtERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGqNhS0RERERERGpNRa2REREREREpNZY2BIREREREZFa01Zo5y16QKdtf2hUM4fo7TNk7V0N0ZO7hbbXavQRdNoOgKalHYT0VOTev46sA+uBtKT8NvVbQrfrEGhYVIcQE4Gsw5uQG3KxXOMq087LEdh0/g2ik7PgZlUFU7q5oJFLNbltp+x5hAO3omWmu1oZ4PB4b8nvx+/GYsWJF3gRmwFHc31818ER7euYl3lcZdp56jE2HX2E6MQMuNlWw5RPvdColkWh7bOyc7H6rzAcvPQCMYmZsDE1wMgetdDX3xkAsP/8c0zdeFNmvuANPaGnq1XmcZVp57EHCDgYiuj4dLg5mGDqkEZo5GldaPus7Fys2hOCQ/8+RXRCOmzMq2BUn3ro29YNAPDniUf469wTPHqZAACoU8MM4z/xhpd7/vr/tvs2Vu0JkerXwkQfFzb2r/gVLKedR+4hYF8IouPS4eZogqlfNUOjujaFts/KzsWqXbdw6MxjRMenwcbCEKM+boC+HWoBAB49j8eKHTcRGh6DN1EpmPKVLwb3rCvVx66j97Dr6H28jkwBALg5mmLMIG/4N3JQ3IqW0c7DoQjYG4LouDS4OZli6ohmaFS3eqHts7JzsWrnTRw6HZ6fz0Bv9O3gIWnzz4UnWLHtBl5EJMGxejWMG9wY7f1cpPqJjEnFL79fxb83XiIzKwfOdiaY950/6rpbKmxdy2rnobsICLydn9Go5kVnlJWLVTtv4NDpR3kZVcWogT7o27FARluv40VEIhyrG2Pc4CZo3zw/o12HQ7HrcCheRyUDANwczTDm04bwb+youBUtI2Xks+6PWzhx8SmevEqAvq4WvD1t8P0wX9RwMFHkqpbZzoN3EbAnKC8jM0wd3RyN6tkW2j4rKxerdlzHoVMP8zMa1BB9O9WWtPnn/GOs2HItP6MhTdG+RQ3J69dD3iBgTxBCH0UjOi4NK2d2QrvmNeQNp3TKyKcs4yoTMyoa8yneh5CRwgpbLe/W0O0zGll7ViD3SSh0mneF/uiFSF/wJYT4KJn2mjXqQu+zycjatwa5d69Aw8QCeh9/B71BE5AZMEvcxrk29IZMR/bRzci5fQHa9VtAb+j/kLFsHETPw8o0rjIdDYnBoiPP8L+eNeDjZITdVyMxcvM9HBrvDVsTPZn2U7u7YEInJ8nvuSIBvZbfRqd6+UVr0PNkTNj1AGPbO6KdpxlO3ovDhJ0PsX1kXdR3NCrTuMpy9OorLNoRgv990QA+Nc2x+8xTjFxyEYcWtoeteRW584xfdQ0xSRmY92VDOFkZIjYpE7kiQapNVQNtHF3UQWra+0VtWcZVlqMXn2Hh5huYMbwJfDyssPvEQ4xYcBqHf+0BW0tDufOMW/IvYhMzMO/rZnC0MUJcYgZyckWS16+FvkXXFs7wrmUJPV0tbDwQii/nnsThX3vA+r31d3cwxqYZ7SW/a2lqKG5Fy+jov4+xcMMVzBjtBx9Pa+z+OwwjZh3D4dX9YGtVVe484xadQmxCOuZ91xKO1ashLiEdOe9tQxmZOXCwMUKn5i5YtPGK3D6szQ3x/eAmcLQVHyw6cOohxsw7gX3Le8PdybTiV7SMjp57jIXrL2PG1y3y8rmPETP+xuG1Hxeez8KTiI1Px7xx/nC0NRbn8972E3Q/EhMWncLYzxuhvZ8LTlx6ivELT2LHzz1R38MKAJCYnIlBP/yFpl622DCnM8xMDPAyIgnVqqrO5887R8+FY+G6S5gxpiV86thg99F7GDH9CA6vHwBbKyO584xbcAKxCWmYN641HG2rIS4xHTm5+dtQ0L23mLDgBMZ+0Rjtm7vgxMWnGL/gBHYs6Yn6HuKDUtYWhvh+WFM42hoDAA6cfIAxs49h38p+cHc2U/yKl5Cy8rl+JwKfdK+DejWtkCsS4dfN1zB82mEcXj8AVfR1KmXdS+ro2UdYuPYCZnzrL87oyD2MmHYYhzcOKjyj+f+I32cT2sh/n917iwnzj2Ps4CZo37wGTlx8gvHzj2PH0t6oX1ucUXpGNjxqWKBPRw+MnfNPpaxrWSgrn7KMqyzMqGjMp3gfSkYKuxRZp01f5Fw5hpzLf0OIfIGsfWsgxEdBu0V3+QviXBtCXCRy/j0AIe4tRE/uIvvSEWg61szvs3Vf5D64iewTuyBEvUT2iV3IfRgEndZ9yjyuMm05/wZ9Glmhf2NruFpVwdTuLrAx1sMfV97KbW+krw1LI13Jz91XKUjKyEHvhlaSNlsvvoGfmwlGtLZHDasqGNHaHr6uxth6MaLM4yrLlmOP0MffGf1bu8DVthqmflofNmZV8MepJ3Lbnw95i+sPYrBuQnP41bGCnaUhvFzN4O0ufbZaQ0MDlib6Uj/lGVeZNh+6h74fuaF/O3e42htj6tDGsDGvgl3HH8htfz7oNa7fi8S6qR/Bz6s67K2qwsvdAj4e+dvQL+Na4pNOtVDbxQw17Iwxd5QvRAJw+U6EVF9aWpqwNDWQ/JgZ6xccTuk2H7iLvu1ron9HD7g6iM9G2lgYYtfR+3Lbn7/5EtfvvsW6WR3h18AO9tZG8KplBZ/a+WfA69W0xKRhTdG1lSt0dLTk9vNRUye0auwAFztjuNgZY/wXjVFFXwe3H6jWwbXN+0PQt0Mt9O/kAVdHU0wd6Qcby6rYdeSe3Pbnb7zE9TsRWDenE/y87fPz8cw/A771wB34edtj5ABv1HAwwcgB3vBtYIctf92RtNkYGIzqllWxcEJreNWygr21EZo1sINjddW7amTzvhD07eiB/p1rizMa1Vyc0eHCMnqB63feYN3cLvDzsYe9TTV41bKWzcjHHiMH+qCGgylGDvQRZ7Q/P6OPfJ3RqokTXOxN4GJvgvFDmoq3obBIha9zaSgrn43zu6JPBw+4O5vBo4YFFk5ogzdRKQh9JHtVk7Jt3nsbfTvVRv/OnnB1NMPU0S3EGR2SfyXZ+esvcD3kDdbN6wo/HwdxRh7W8KmTfxZ86/7b8PNxwMhBDVHD0RQjBzWEr7cdtuy/LWnj38QJ44Y2RYcWrgpfx/JQVj6lHVeZmFHRmE/xPpSMFFPYamlD06EmcsNuSE3ODbsJLRdPubOInoZCw8QCWp5NxBOMTKDdoCVyQ6/mL6yzJ3LDpC8jzb1/A5oudco8rrJk5YgQ+iYFzd1NpKY3dzdB0IvkEvWx90YUmrkaw840v6C4/SIZfgX7rGmCoBdJFTZuZcjKESH0WQKa17WSmt68rhWCwuPkznM6KAJ1nE0QcPQhWn13FJ0mHcfiXXeQkZUr1S4tIwcfTfgbrccdxaill3DveUK5xlWWrOxchD6JQ/P60pf8Na9vi6AH8nfuTt94hbqu5gj4KxT+IwLR8dsD+GnLTWRk5hQ6TnpWLnJyRTAucDbteUQSWn4ViLZf78OEpf/iZaTqbD9AXj7hMWjubS81vbm3PYIKKQ5OX32Bum4WCNgbAv8vdqLjiD/xU8DVIvMpTm6uCEfOPUZaRjYaeFgVP0MlkeTjIyef+4Xl8xx13S0REHgb/p9vR8fhu/HTxitS+QSHRaK5j53UfC187BF8L7/P01eeo667Bb5bcAJ+g7ai9zd78ecx+QcblCkrOxehj6LR3Ef6EvLmPvYIui//QODpK8/EGe0Jhv+nW9Hxy134acNl6YzuR8rk3qKhPYIL6TM3V4QjZ8ORlpmNBrUL/5pBZVOVfAAgOS0LAGBspFoH2ArNqKEDgu4V8j67/BR1a1ohYE8Q/AdtQcehO/DT+ovSGd2LRPOG0n22aOiI4HuqdYC6OMrKpyzjKgszKhrzKd6HlJFCLkXWMDSGhpYWhOR4qelCcjw0jORfQiV6eg+ZWxdCb8h0QEcXGlrayLlzCVmBK/P7rWYqv89qpmUeV1kS0nKQKwIsqkpfMmVeVQcxyVnFzh+VlIXzD+Px84CaUtNjUrJl+rSoqoOY5OwKGbeyJCSLLyG2KHAW0NxYDzGJGXLneRWdiluPYqGno4XfxvoiPiULc7YGIzE1C/OHNwQAuFQ3woLhDVHToRpS0nOw7Xg4Pp13DvvntoWzTdUyjass8XnLai6zrPqISZC/rC8jU3AzLAq6OlpYObE14pMzMXvDVSSmZGLBGD+58yzdfgvWZlXg55VfQNd3t8Cib5vDuXo1xCZmYE3gHQyadgyHfu0BUyPVuJw0PilDnI+pgdR0c1MDxNxKlzvPy7fJuHkvErq6Wlg5rR3ikzIxe81FJCZnYsE4/1KN/+BZHAb9cBCZWbmoYqCDldPaw81RdS5DluRjIief+DS587x8m4SboW/F28/0DohPysDsVReQmJyBBeNbAwBi4tNhbiJ9yb65SRVEv9fny7fJ2HXkPob0roeRA7wR8iAK89degq6OFnq1lf5MU6bCt6EqiIl7KXeelxHJ4ox0tbByRkfEJ2Zg9srz4owmtAEAxMSnwdy0QEam0hkBwIOnsRg0fn/+NvS/jnBzUp3/ZcrO5x1BELBo3SU0rGODmip0mTZQTEbxhWT0Ngk370aIM5rZSfw+++1f8efQ9x8BeJeR7Hu3sIxUlbLyKcu4ysKMisZ8ivchZaTYuyIL0t9thIYGAEFuUw0bR+j2HYPsY9uR/vNoZKz+EZpmNtAdMK6YPuV0WYpxlU/6e4kCxJfKFufArSgY6WujrafsP/GCcwtCXgQVMG6lK7BI8tdFTCQSN/95VGN4uZqhVX0bTB5UD/svPJectW3gZoYezR3h4WiCRrUs8OuYpnC2qYodJx+XeVxlk/d3K2xRRSIBGhoa+OW7FvByt0ArHzv8OLgR9p99LPes5MYDoThy8Rl++6GV1PeQ/X3s0NHXCbWcTOHnVR3rpop3SA+cfSzTh7LJZCEIhW9Dea/98kMbeNWyQqvGDvhxeFPsP/Ww1GdtXeyMsX9Fb/yxpAcGdq6NH389h/AX8cXPWMlktp+i8hHl5TPpo7x8HPHjV82w/6R0PrLzC1LjCIIATzcLTBjSBJ6uFhjYxRP9O3kUegm0ssnfhuSHJNmGJreFVy1rtGrihB9H+GH/iQfSGcnrs8BUF3sT7F/dH38s642BXevgxyVnEP5cta4cAZSXzztzV13Ag6exWPJjuzKvg6LJfZ8V0lbyPvuxHbw88jIa6Yf9x8MKvM8K9olCM1J1ysqnNOMqGzMqGvMp3oeQkUIKWyE1EUJuLjSqSRddGlVNZM6mvqPbfhBET0KRffpPCG+eIjfsBjL3rIBOs86SfoSkeDl95p/FLcu4ymJSRRtamkBMivRZ0riUbJhXLfrGF4IgYO+NKPTwtoSutvSf0KKqDqJTsqWmxabm91mecSuTiZEetDQ1ZM48xiVlwrya/EvNLE30YW1qAKMq+evhamsEQQDexsk/Q6epqYG6LqZ4/jalzOMqi6lkWaXXLTYxA+YmhWRkagBrsyowMtSVTHO1N87LSPpIf8BfoVi37w42Tm+HWs5Fn2msoq+Dmo4meB6hOpcjm1bTF+cTXyCfhAyZs5TvWJpWgbW5oXQ+DibifGJSSzW+ro4WnGyNUc/dEt8PaQwPFzNsPRha+hVRkPx8pP/u4nzk3yTN0qz4fCzknPGNTUiHxXuZW5pWgVuBu9e6OpgiIjqlPKtU4QrfhtJljkC/k59R/pULro6meRmJ18/CtIr8jAr0KdmGalrh+2FN4eFijq0H7kBVKDsfAJi7+gJOX3mGrYt7wMZS/g3PlEmSUZzs+hQ8K/2OpZkhrC1KkJGcPuVlpMqUlU9ZxlUWZlQ05lO8DykjxZyxzc2B6OVDaNVqKDVZy6Mhcp8WckReR1/2TKvo3XcjxXW96Nk9aNXykelT9DS07OMqia62JurYVsWlRwlS0y+FJ8Dbsei7hF1/moQXsRno20j2+3r1HY1k+3yUAG/HauUetzLpamuijrMJLoVK32znUmgUvN3kX2rm426OqIQMpGbkH0l69jYFmhqAjZn8f/aCICDsRYLkBlJlGVdZdHW0UKeGGS6FSN/U6VJIBLxryX9kio+HJaLi0pCann/w49mbJGhqasDGLP9DJuCvUKzZewcbprdFPTdzeV1JycrOxeNXSbBUoZ0qXR0t1HGzwKXg11LTLwW/hreH/O8p+nhaIyouVTqf13n5WMi/y3RJCYI4J1UhySeoQD5Br+BdyPc4fTxt5OSTKJVPAw9rmT4v3nqNBu89gsrb0xpPXydKtXn2OkHl7iKpq6OFOu6WuBQkfcnUpaDX8K4t/5FR4owKvMdeJ+RlJC68GtS2xqWgV1LzXbz1Cg0K6fMdASq4DSkpH0EQMGfVeZy4+ASbf+oOexvVu/EY8F5GtwpkdOsVvAt5LJtPHRtExRbI6FWidEae1jJ9Xrz5Eg08i96GVI2y8inLuMrCjIrGfIr3IWWksEuRs8/shXazztD27QQNa0fo9h4NDVMr5Fw4BADQ6f4ldD+bLGmfe/cytOq3gHaL7tAwrw5NlzrQ7fsNcp/dh5AUK+7z3D5oeTSCTrsB0LBygE67AdCq5YPss/tKPK4qGdzSFntvRGHvjUg8jkrDwsNPEZGQiQFNxX/spceeY/Kfj2TmC7weBS+HqqhpI7uj/UXz6rgUnoAN517hSVQaNpx7hcvhifiief73I4sbV1UM7uSOveeeYe+/z/D4TRIW7ghBRGwaBnwkfj7W0j/vYvK6/BuFdW3mAJOqupi28SbCXyfhelgMfv7jLvr4O0M/7zLaVfvv48KdSLyMSsX95wmYHnALYS8SMaCNS4nHVSVDunsi8FQ49p4Kx+NXiVj4+3VExKRiYAfx9xSX7LiFySvyn/PcrYULTIz0MHXVJYS/TMD1e5FYvO0m+rZxhb6e+Cv3Gw+EYtmuYMz/uhnsLKsiOj4d0fHpUh9uP225iWuhkXgVmYzbD6Mx9pdzSEnPRq/WqpXRkF51EXj8AfYef4DHL+OxcMMVRESnYGAX8fMyl2y+jslLzkrad2vlChMjfUxd9i/CX8Tj+t0ILN50FX3b1ZTkk5Wdi/tPYnH/SSyyc0SIjE3F/SexeP4mv1BbuuU6btx9i1eRyXjwLA6/br2Oa3cj0L21at2ddEhvLwT+E4a9x8Pw+EU8Fq6/lJeP+Bl1S36/hsm/nJG079baTZzPr2fF+dyJwOKAq+jbvpYkn8971sXFW6+wYU8wnrxMwIY9wbgc/AqDe9Z7b9x6uB0WibW7g/D8TSIOnQnHn3+H4dNuqnWTPwAY0scLgcfCsPefvIzWXUREVDIGdhUv65JNVzH559OS9t3auIvfY3mXDV+/8waLN15B3w7vZdSrHi7efIUNfwbhyct4bPgzCJeDXmNw7/yMlv5+FTfuRuDV2yQ8eBqLXzdfxbWQN+j+kXvlBlAMZeUzZ9V5HDr9CL9MbgdDA11Ex6UhOi6tXDd6U5Qhfesj8Nh97D12H49fxGHhmgvijLqJn3+9JOAyJi8+KWnf7aOa4ox+OS3OKOQNFm+4hL4dPd7LyAsXb77Eht238ORFPDbsvoXLQa8wuHd9ST+p6dm4/zgG9x/HAABevU3G/ccxeBOlOlfWAMrLp7hxVQkzKhrzKd6HkpHCnmObG3QWWYbVoNPxM+gam0EU8QwZa6dKniWrUc0Mmqb5Zxxzrh0H9KtAp2VP6PYaCSE9BaKHwcg6uEHSRvT0HjK3zINu16HQ6TIEQswbZP4+T/IM25KMq0q6eFkgITUbq0+9QnRyFtytq2DtkNqSuxxHJ2chIiFTap7kjBycCI3FlG4u8rqEt1M1LBlYE8tPvMRvJ17CwUwfSwbVlDzDtiTjqoouTe2RkJKJ1X+FITohA+521bB2QnPYWYjPLEYnZiDivcsbDPW1ETCxBeZtv43+s87ApKouOjWxw3d960jaJKVlY8bvtxCTmAkjAx3UdjLG1qn+8HI1K/G4qqRLc2ckJGdiVWAIouPT4e5ognVTP4Jd3iV50fHpePPeJbSGBjrYNKMd5gVcQ7/JR2FipIdOfk4YN7CBpM3Ofx4gO0eE7375V2qsMf298O0A8YdVZGwqvl92HgnJmTCtpof67pbYvaCTZFxV0cXfVZzPH+IHg7s7mWLdrI6wyzszGB2fhjfvXf5qaKCDTXM7Y966S+g3/gBMjPTRqYULxn3eSNImKi4Nvcful/y+ad8dbNp3B43r2mDbom4AxJfZTFp6FtFxaTAy1EUtZzNsmN1R5g7NytallSsSkjOwauctcT7OZlg3uzPsrIvIZ35XzFtzEf2+2yfOp2UNjPuisaSNj6cNlvzYFsu3XseKbTfgUL0alv7YTvIMWwCoV9MKv03vgKWbr2H1zluwtzHClJHN0L2NahVtANCllRsSkjKwascNRMenwd3JDOvmdsnPKC5VqlAwNNDBpoXdMG/1BfQbu0/8HvN3xbjBTSRtfDxtsGRKOyzfch0rtl4XZzSlneQZrQAQG5+OSYtPITo+DUZVdFHLxRwb5nWRubuksikrn3ePE/pi0kGp5VkwoTX6dPBQ5CqXWpfW7khIyhRnFJcKdydzrJvX7b2M0vAmqsD7bFEPzFt1Hv2+CRRn1MoN44Y0lbTxqVMdS6Z2wPLNV7FiyzVxRtPaS54dCQB3H0Zh8MS/JL8vWic+yNmrfS0smthW0atdYsrKp7hxVQkzKhrzKd6HkpGGIBS8/le+1LGqe1MGRTBccbL4Ru8R7RuqoCVRXZp9fi9Ve9GVKQpaEtWk6buwVO2FO/MUtCSqS6Pe9FK1Fx79rKAlUU0a7hNL1V54vERBS6K6NFy/L1V74emvCloS1aThMr5U7T+0fIAyZPR8uYKWRDVpOH1XqvYfWj4AMyoO8ykeMypaSfNR7F2RiYiIiIiIiBSMhS0RERERERGpNRa2REREREREpNZY2BIREREREZFaY2FLREREREREao2FLREREREREak1FrZERERERESk1ljYEhERERERkVpjYUtERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGqNhS0RERERERGpNRa2REREREREpNZY2BIREREREZFaY2FLREREREREao2FLREREREREak1FrZERERERESk1ljYEhERERERkVpjYUtERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGpNQxAEQdkLQURERERERFRWPGNLREREREREao2FLREREREREak1FrZERERERESk1ljYEhERERERkVpjYUtERERERERqjYUtERERERERqTUWtkRERERERKTWWNgSERERERGRWmNhS0RERERERGrt/+hHBDZ8b50YAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x300 with 13 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for ini in np.arange(0, np.shape(pi_array)[1]):  # 遍历所有的初始状态向量\n",
    "    pi = pi_array[:, ini]  # 获取当前的初始状态向量\n",
    "    fig, axes = plt.subplots(1, num_steps + 1, figsize=(12, 3))  # 创建包含多个子图的画布，每个时间步对应一个子图\n",
    "    for i in np.arange(0, num_steps + 1):  # 遍历每一个时间步\n",
    "        plt.sca(axes[i])  # 设置当前的绘图区域\n",
    "        ax = sns.heatmap(pi, cmap='RdYlBu_r', vmax=all_max, vmin=all_min,  # 绘制当前状态向量的热图\n",
    "                         annot=True, fmt=\".3f\", cbar=False,  # 在热图上显示数值，格式为小数点后三位\n",
    "                         xticklabels=False, yticklabels=False)  # 隐藏热图的x轴和y轴标签\n",
    "        ax.set_aspect(\"equal\")  # 设置热图的坐标轴比例相等\n",
    "        plt.title(r'$\\pi(' + str(i) + ')$')  # 设置子图标题，表示当前状态的时间步\n",
    "        ax.tick_params(left=False, bottom=False)  # 隐藏坐标轴的刻度\n",
    "        pi = T @ pi  # 更新状态向量，通过矩阵乘法计算下一个时间步的状态向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "85a80909-2aac-49ed-bb7a-f8cc6b80ee7d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ecd322f4-f919-4be2-adc3-69d28ef25e69",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
